# PSAT Math Grid-Ins Practice Test 11: Data Analysis: Tables, Statistics, and Probability

**1.** The average (arithmetic mean) of the data list {2, 4, 5, 8, 9, *x*, 3} is 5. What is the value of *x* ?

**2.**

Group | Proportion |
---|---|

A: inert, mild or no side effects | 34.5% |

B: inert, moderate side effects | 9.2% |

C: inert, severe side effects | 6.2% |

D: drug, mild or no side effects | 9.5% |

E: drug, moderate side effects | 12.8% |

F: drug, severe side effects | 27.8% |

Dr. Hunter is overseeing a treatment-resistant influenza Phase I trial with 400 healthy participants: half are given the drug and half are given an inert pill. The table shows a distribution of the severity of gastrointestinal side effects.

How many trial participants did not have severe side effects?

**3.**

Group | Proportion |
---|---|

A: inert, mild or no side effects | 34.5% |

B: inert, moderate side effects | 9.2% |

C: inert, severe side effects | 6.2% |

D: drug, mild or no side effects | 9.5% |

E: drug, moderate side effects | 12.8% |

F: drug, severe side effects | 27.8% |

Dr. Hunter is overseeing a treatment-resistant influenza Phase I trial with 400 healthy participants: half are given the drug and half are given an inert pill. The table shows a distribution of the severity of gastrointestinal side effects.

Of those who had severe side effects, what percent were administered the drug? (Round to the nearest whole number and omit the percent sign when gridding in your answer.)

**4.**

TV Owners | Thursday Viewing Audience (all channels) | |
---|---|---|

Under age 35 | 4,100 | 1,900 |

Age 35 or older | 3,400 | 1,600 |

The table above displays data that show the number of TV owners in the town of Jonesville and how many of these owners had their televisions on during a particular Thursday evening. On that evening, 20 percent of TV owners in Jonesville tuned in to a certain channel. If a channel's nightly rating is reported as a fraction and is defined as , then what was the channel's nightly rating?

**5.** The PTA is planning to sponsor a cultural arts day at school. It asked 200 randomly selected students what the focus of the day should be. Of those students asked, 42 recommended having a speaker, 48 asked for an art display, 60 wanted to taste foods from around the world, and the rest said they would like to watch cultural movies. If there are 1,260 students in the school, about how many would you expect to want to watch cultural movies?

**6.**

Apples | Berries | Pears | Oranges | Exotics | Total | |
---|---|---|---|---|---|---|

Frankie | 30 | 32 | 22 | 18 | 13 | 115 |

Bao | 18 | 28 | 27 | 24 | 15 | 112 |

Craig | 37 | 31 | 18 | 31 | 22 | 139 |

Ekanta | 28 | 35 | 32 | 15 | 24 | 134 |

Total | 113 | 126 | 99 | 88 | 74 | 500 |

Frankie, Bao, Craig, and Ekanta are selling boxes of fruit to raise money for a senior class trip. The summary of their sales is provided in the table above. The students decide to give away a free box of fruit to someone who purchased from them. Assuming no buyers purchased more than one box of fruit, what is the probability that the randomly selected buyer had previously purchased a box of berries or exotic fruit?

**7.**

Strongly Disagree | Disagree | Agree | Strongly Agree | Total | |
---|---|---|---|---|---|

Freshmen | 35 | 40 | 24 | 36 | 135 |

Sophomores | 37 | 28 | 12 | 23 | 100 |

Juniors | 24 | 22 | 36 | 38 | 120 |

Seniors | 30 | 40 | 21 | 24 | 115 |

Total | 126 | 130 | 93 | 121 | 470 |

Students at Fairview High School were asked to rate their level of agreement with the school's decision to change the school colors from blue and white to maroon and orange. The results are shown in the table above, by level of agreement and class of student. If underclassmen are defined as freshmen and sophomores, what percentage of underclassmen agree or strongly agree with the new policy? Round your answer to the nearest whole number and ignore the percent sign when gridding your response.

### Test Information

- 7 questions
- 10 minutes
- See All test questions

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